Research Article

On Taxicab Circle Inverses of Lines

Volume: 6 Number: 1 July 22, 2024
EN

On Taxicab Circle Inverses of Lines

Abstract

This study conducts a thorough analytical examination of line inverses with respect to taxicab circle inversion within the analytical plane. It presents the distinctive properties exhibited by taxicab circle inverses of lines, highlighting their difference from Euclidean circle inverses.

Keywords

References

  1. Akça, Z., Kaya R. (1997) On the taxicab trigonometry. Journal of Inst. Math. Comput. Sci. Math. Ser.,10(3):151–159.
  2. Akça, Z., Kaya R. (2004) On the distance formulae in three dimensional taxicab space. Hadronic J., 27(5):521–532.
  3. Akça, Z., Bayar, A., Ekmekçi, S. (2007) The norm in CC-plane geometry. Pi Mu Epsilon J. 12(6): 321-324.
  4. Aydın, S. A. (2023) On Circular Inversions and Fractals. MSc thesis, Eskişehir Osmangazi University Institute of Science and Technology, Eskişehir, Turkey.
  5. Bayar A., Ekmekçi S. (2014) On circular inversions in taxicab plane. Journal of Advanced Research in Pure Mathematics, 6(4):33-39.
  6. Bayar A., Ekmekçi S. (2015) On Complex Numbers and Taxicab Plane. Mathematical Sciences & Applications E-Notes, 3(1):58–64.
  7. Blair, D. E. (2000) Inversion Theory and Conformal Mapping. American Math. Society, 9.
  8. Cırık, Y., Ekmekçi, S. (2022) On The Maximum Spherical Inversions. Erzincan University, Jounal of Science and Technology, 15(1):360-371.

Details

Primary Language

English

Subjects

Algebraic and Differential Geometry

Journal Section

Research Article

Early Pub Date

April 28, 2024

Publication Date

July 22, 2024

Submission Date

October 10, 2023

Acceptance Date

February 19, 2024

Published in Issue

Year 2024 Volume: 6 Number: 1

APA
Bayar, A., & Aydın, S. A. (2024). On Taxicab Circle Inverses of Lines. Ikonion Journal of Mathematics, 6(1), 1-8. https://doi.org/10.54286/ikjm.1373938
AMA
1.Bayar A, Aydın SA. On Taxicab Circle Inverses of Lines. ikjm. 2024;6(1):1-8. doi:10.54286/ikjm.1373938
Chicago
Bayar, Ayşe, and Seyit Ali Aydın. 2024. “On Taxicab Circle Inverses of Lines”. Ikonion Journal of Mathematics 6 (1): 1-8. https://doi.org/10.54286/ikjm.1373938.
EndNote
Bayar A, Aydın SA (July 1, 2024) On Taxicab Circle Inverses of Lines. Ikonion Journal of Mathematics 6 1 1–8.
IEEE
[1]A. Bayar and S. A. Aydın, “On Taxicab Circle Inverses of Lines”, ikjm, vol. 6, no. 1, pp. 1–8, July 2024, doi: 10.54286/ikjm.1373938.
ISNAD
Bayar, Ayşe - Aydın, Seyit Ali. “On Taxicab Circle Inverses of Lines”. Ikonion Journal of Mathematics 6/1 (July 1, 2024): 1-8. https://doi.org/10.54286/ikjm.1373938.
JAMA
1.Bayar A, Aydın SA. On Taxicab Circle Inverses of Lines. ikjm. 2024;6:1–8.
MLA
Bayar, Ayşe, and Seyit Ali Aydın. “On Taxicab Circle Inverses of Lines”. Ikonion Journal of Mathematics, vol. 6, no. 1, July 2024, pp. 1-8, doi:10.54286/ikjm.1373938.
Vancouver
1.Ayşe Bayar, Seyit Ali Aydın. On Taxicab Circle Inverses of Lines. ikjm. 2024 Jul. 1;6(1):1-8. doi:10.54286/ikjm.1373938